A Combined Renormalization Group-Multiple Scale Method for Singularly Perturbed Problems

O'Malley, R. E. & Kirkinis, E. (2010) A Combined Renormalization Group-Multiple Scale Method for Singularly Perturbed Problems. Studies in Applied Mathematics, 124(4), pp. 383-410.

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Abstract

This paper introduces a straightforward method to asymptotically solve a variety of initial and boundary value problems for singularly perturbed ordinary differential equations whose solution structure can be anticipated. The approach is simpler than conventional methods, including those based on asymptotic matching or on eliminating secular terms. © 2010 by the Massachusetts Institute of Technology.

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13 citations in Scopus
12 citations in Web of Science®
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ID Code: 73426
Item Type: Journal Article
Refereed: Yes
DOI: 10.1111/j.1467-9590.2009.00475.x
ISSN: 00222526 (ISSN)
Divisions: Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Deposited On: 07 Jul 2014 22:33
Last Modified: 09 Jul 2014 05:54

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